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We present new Near-Infrared (J,K) magnitudes for 114 RR Lyrae stars in theglobular cluster Omega Cen (NGC 5139) which we combine with data from theliterature to construct a sample of 180 RR Lyrae stars with J and K meanmagnitudes on a common photometric system. This is presently the largest suchsample in any stellar system. We also present updated predictions for J,K-bandPeriod-Luminosity relations for both fundamental and first-overtone RR Lyraestars, based on synthetic horizontal branch models with metal abundance rangingfrom Z=0.0001 to Z=0.004. By adopting for the Omega Cen variables with measuredmetal abundances an alpha-element enhancement of a factor of 3 (about 0.5 dex)with respect to iron we find a true distance modulus of 13.70 (with a randomerror of 0.06 and a systematic error of 0.06), corresponding to a distanced=5.5 Kpc (with both random and systematic errors equal to 0.03 Kpc). Ourestimate is in excellent agreement with the distance inferred for the eclipsingbinary OGLEGC-17, but differ significantly from the recent distance estimatesbased on cluster dynamics and on high amplitude Delta Scuti stars.Comment: 24 pages, 7 figures, accepted for publication on The Astrophysical  Journa

A Pulsational Distance to ω Centauri Based on Near‐Infrared Period‐Luminosity Relations of RR Lyrae Stars